Home
Class 12
MATHS
The length of transverse axis of a hyper...

The length of transverse axis of a hyperbola is `sqrt(2)`. The foci of hyperbola are same as the foci of ellipse `3x^2+4y^2=12`. Which of the following points does not lie on the hyperbola?

A

`(sqrt((3)/(2)),(1)/(sqrt2))`

B

`(1, -(1)/(sqrt2))`

C

`((1)/(sqrt2),0)`

D

`(-sqrt((3)/(2)),1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

Similar Questions

Explore conceptually related problems

The length of the transverse axis of a hyperbola, 2 cos0. the foci of the hyperbola are the same as that of the ellips 9x^(2)+16y^(2)=144. the equation of the hypperbola is

The length of the transverse axis of the hyperbola x^(2) -20y^(2) = 20 is

An ellipse passes through the foci of the hyperbola,9x^(2)-4y^(2)=36 and its major and mininor axes lie along the transverse and conjugate axes of the hyperbola respectively.If the product of eccentricities of the two conics is (1)/(2), then which of the following points does not lie on the ellipse?

The length of the transverse axis of a hyperbola is 7 and it passes through the point (5,-2). The equation of the hyperbola is

The length of the transverse axis of a hyperbola is 7 and it passes through the point (5, –2). The equation of the hyperbola is

A hyperbola having the transverse axis of length sqrt2 units has the same focii as that of ellipse 3x^(2)+4y^(2)=12 , then its equation is

If the vertices of the hyperbola be at (-2,0) and (2,0) and one of the foci be at (-3,0) then which one of the following points does not lie on the hyperbola? (a) (-6,2sqrt(10)) (b) (2sqrt(6),5)(c)(4,sqrt(15))(d)(6,5sqrt(2))

A hyperbola is given with its vertices at (-2,0) and (2,0) one of the foci of hyperbola is (3,0) .Then which of the following points does not lie on hyperbola (A) (sqrt(24),5)( B) (sqrt(44),5sqrt(2))( C) (sqrt(44),-5sqrt(2)) (D) (-6,5sqrt(2))

If (x^(2))/(36)-(y^(2))/(k^(2))=1 is a hyperbola, then which of the following points lie on hyperbola?

JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. If y^(2)+log(e)(cos^(2)x)=yx in (-(pi)/(2),(pi)/(2)), then

    Text Solution

    |

  2. Solve : 2pi-(sin^(-1)(4/5)+sin^(-1)(5/13)+sin^(-1)(16/65))=

    Text Solution

    |

  3. The length of transverse axis of a hyperbola is sqrt(2). The foci of h...

    Text Solution

    |

  4. For the frequency distribution: {:("Variate (x): " x(1)" "x(2)"...

    Text Solution

    |

  5. A die is thrown two times and the sum of the scores appearing on the d...

    Text Solution

    |

  6. The number of integral terms in the expansion of (sqrt(3)+root(5) (8))...

    Text Solution

    |

  7. int(-pi)^(pi)|pi-|x||dx

    Text Solution

    |

  8. If A={m: both roots of x^2-(m+1)x+m+4=0 is real} and B=[-3,5) which of...

    Text Solution

    |

  9. The proposition prarr~(p^^~q) is equivalent to :

    Text Solution

    |

  10. The function, f(x)=(3x-7)x^(2//3), x in is increasing for all x lying ...

    Text Solution

    |

  11. If the first term of an A.P. is 3 and the sum of its first 25 terms is...

    Text Solution

    |

  12. The solution curve of the differential equation, (1+e^(-x))(1+y^(2))(d...

    Text Solution

    |

  13. The area (in sq. units) of the region {(x,y):0leylex^(2)+1,0leylex+1,(...

    Text Solution

    |

  14. If alpha and beta are roots of the equation x^(2)+px+2=0 and (1)/(alph...

    Text Solution

    |

  15. Determine whether the following pair of lines intersect: vecr=hati-hat...

    Text Solution

    |

  16. If lim(x rarr 0)(|1-x+|x||)/(|lambda-x+[x]|)=L find L, where lambda in...

    Text Solution

    |

  17. If lim(x rarr 0)((1-cos((x^2)/2)-cos((x^2)/4)+cos((x^2)/2)cos((x^2)/4)...

    Text Solution

    |

  18. The diameter of the circle, whose centre lies on the line x + y = 2 in...

    Text Solution

    |

  19. The value of (0.16)^("log"(2.5)((1)/(3) + (1)/(3^(2)) + (1)/(3^(3)) + ...

    Text Solution

    |

  20. In the matrix A=[[x,1],[1,0]] and A^4=[[109,a(12)],[a(21),a(22)]], the...

    Text Solution

    |